Families of Legendrian Submanifolds via Generating Families
classification
🧮 math.SG
math.GT
keywords
familieslegendrianfamilygeneratingsubmanifoldstheoryallowsapplying
read the original abstract
We investigate families of Legendrian submanifolds of 1-jet spaces by developing and applying a theory of families of generating family homologies. This theory allows us to detect an infinite family of loops of Legendrian n-spheres embedded in the standard contact (2n+1)-space (for n>1) that are contractible in the smooth, but not Legendrian, categories.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.